10.2 Homework Problems: Factoring Trinomials and Special Cases
1. Factor each of the trinomials
a. x2 – x – 12
b. x2 – 8x + 16
c. x2 + 7x + 12
d. x2 – x – 72
e. z2 – 15z + 54
f. a2 +10a + 25
g. 20x4 + 40x3 – 20x2
h. 21y2 + 19y – 2
i. 5x2 – 19x + 18
j. 10x2 + 27x + 18
k. x3 + 10x2 + 21x
l. 4p4 +36p3 + 32p2
m. 2a4 – 8a3 – 120a2
n. 5a2 + 10a – 30
o. 20a4 + 40a3 + 20a2
p. 3y5 – 21 y4 – 24y3
2. Factor each of the following using difference of squares method
a. 7a2b – 7b
b. x6 – 225
c. – 4x2 + 144
d. 4x3y – 64xy
3. Factor the following using the sum or difference of cubes method
a. z2 – 12z + 36
b. 4y2 + 12y + 9
c. 2x3 – 8x2y + 8xy2
d. (16x2 + 8x + 1) – y2
e. x3 – 8
f. x6 + 64y3
g. 16y12 – 250
h. 125x3 – 27
4. Factor each expression, if it cannot be factored, write N/a
a. m2 + 7m + 6
b. x2 + 10x + 25
c. – 5x2 + 70x – 240
d. 16x3 – 100x
e. 6x2 – 11x + 4
f. 36x3 + 21x2 – 30x
g. x2 – 100
h. 64a2 – 1
i. y2 + 64
j. 12n2 – 60n – 75
k. – x3 + 8x2 +5x – 40
l. x6y3 – 125
m. 9x2 – (y + 6)2
n. 4x2 + 100